A note on the general Hermitian solution to .
Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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This paper characterizes the hermitian operators on spaces of Banach-valued Lipschitz functions.
Goluzina, E.G. (2005)
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Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.
Rajendra Bhatia, Driss Drissi (1999)
Studia Mathematica
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Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.
Aloys Krieg (1991)
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Tekcan, A. (2005)
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